Abstract
We study the influence of dissipative frustration on the one dimensional Josephson junction chain. In particular we analyze the dissipative quantum phase transition between the chain being superconducting or insulating, the purity as a measure of quantum—environment correlation and the logarithmic negativity as an entanglement measure. The dissipative frustration is provided by coupling two non-commuting operators to the environment. A possible realization of these environmental couplings are shunt resistances between the superconducting islands and resistances to the ground. Using a self-consistent harmonic approximation we determine the critical line separating superconducting and insulating phases and find a nonmonotonic behavior as a function of the dissipative strength. The interplay between both environmental couplings is also reflected in the purity and the logarithmic negativity. We find a change in their behavior depending whether a second bath is present or not.
Highlights
Mesoscopic quantum many-body systems combine two very important attributes, they are small enough to show quantum behavior and large enough to make their quantum properties experimental accessible
We include dissipation via the Caldeira Leggett model and consider one ohmic bath coupled to each phase difference ∆ φn and one ohmic bath coupled to each charge Qn of the superconducting islands
In this work we studied the influence of dissipative frustration on the superconductor—insulator phase transition in a chain of Josephson junctions by coupling the environment to two non-commuting observables
Summary
Mesoscopic quantum many-body systems combine two very important attributes, they are small enough to show quantum behavior and large enough to make their quantum properties experimental accessible These systems are realized for example by superconducting circuits [1,2], atoms in optical lattices [3] or arrays of coupled QED cavities [4]. The individual effect of different dissipative couplings on this transition have been studied in the past [9,10], while their interplay and the resulting frustration have been considered only recently [11] In this proceeding we give an overview on the work [11], providing a theoretical analysis of the quantum phase transition in presence of dissipative frustration together with a proposal of an experimental realization. We study the effect on the purity as a measure of system environment correlation and on the logarithmic negativity as a measure of entanglement in the system
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